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The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves

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Abstract.

For a partition λ={λ1≥λ2≥λ3≥0} of non-negative integers, we calculate the Euler characteristic of the local system on the moduli space of genus 3 hyperelliptic curves using a suitable stratification. For some λ of low degree, we make a guess for the motivic Euler characteristic of using counting curves over finite fields.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Milano, Via C. Saldini 50, 20133, Milano, Italia

    Gilberto Bini

  2. Korteweg-de Vries Instituut, University of Amsterdam, Plantage Muidergracht 24, 1018, TV, Amsterdam, The Netherlands

    Gerard van der Geer

Authors
  1. Gilberto Bini
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  2. Gerard van der Geer
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Correspondence to Gilberto Bini.

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Mathematics Subject Classification (1991): 14J15, 20B25

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Bini, G., Geer, G. The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves. Math. Ann. 332, 367–379 (2005). https://doi.org/10.1007/s00208-005-0629-3

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  • DOI: https://doi.org/10.1007/s00208-005-0629-3

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